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Local properties of equilibrium states and the particle spectrum in quantum field theory

Authors:	D Buchholz P Junglas

Institution:	(1) II. Institut für Theoretische Physik der Universität Hamburg, D-2000 Hamburg 50, Germany

Abstract:	It is shown that in a quantum field theory describing free, scalar particles with masses m _i, i there exist locally normal equilibrium states with finite energy density for all temperature >0 if and only if $\Sigma _{i = 1}^\infty {\text{ e}}^{ - \beta m_i } < \infty$ . This result lends support to the conjecture that the nuclearity criterion proposed by Buchholz and Wichmann is sensitive to the thermodynamical properties of field-theoretic models.

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